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Search: id:A085294
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| A085294 |
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Integer ceiling of coefficients of exp(x*A(x)). |
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+0
3
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| 1, 1, 2, 4, 8, 16, 35, 81, 190, 458, 1122, 2784, 6983, 17678, 45108, 115892, 299542, 778330, 2031974, 5327304, 14020083, 37024711, 98083557, 260583547, 694130905, 1853484434, 4960318790, 13302462676, 35743133528, 96213085461, 259420983385
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = ceil(A085295(n)/n!) where exp(x*A(x)) = sum(n>=0, A085295(n)*x^n/n!).
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PROGRAM
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(PARI) {a(n)=local(A); if(n<0, 0, A=1+O(x); for(m=1, n, A=Pol(A)+x^m*(ceil(polcoeff(exp(x*A), m))+O(x)); ); polcoeff(A, n))}
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CROSSREFS
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Cf. A085295, A085022.
Sequence in context: A013025 A034339 A126137 this_sequence A034340 A007669 A034341
Adjacent sequences: A085291 A085292 A085293 this_sequence A085295 A085296 A085297
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 24 2003
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